4442113300040 has 32 divisors (see below), whose sum is σ = 10763582228280. Its totient is φ = 1640164910592.

The previous prime is 4442113300007. The next prime is 4442113300061. The reversal of 4442113300040 is 400033112444.

It can be written as a sum of positive squares in 4 ways, for example, as 1825671178276 + 2616442121764 = 1351174^2 + 1617542^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 4442113299982 and 4442113300009.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4271262269 + ... + 4271263308.

Almost surely, 2^{4442113300040} is an apocalyptic number.

4442113300040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442113300040 is an abundant number, since it is smaller than the sum of its proper divisors (6321468928240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4442113300040 is a wasteful number, since it uses less digits than its factorization.

4442113300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8542525601 (or 8542525597 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4442113300040 its reverse (400033112444), we get a palindrome (4842146412484).

The spelling of 4442113300040 in words is "four trillion, four hundred forty-two billion, one hundred thirteen million, three hundred thousand, forty".